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3 years ago

Simplify the following expression (3x^2y)^3

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

Answer:

$\large\boxed{\left(3x^2y\right)^3=27x^6y^3}$

Step-by-step explanation:

$\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3$

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Find the diameter of each circle.

Vedmedyk [2.9K]

Answer:

Diameter Length: ( About ) 5.4 km; Option B

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

radius = ( About ) 2.7

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

Diameter Length: ( About ) 5.4 km

5 0

3 years ago

Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u

RoseWind [281]

Transformation involves changing the form of a function.

The absolute value function is $f(x)=0.3|x -2|$

The parent function of the absolute value function is:

$f(x)=|x|$

When the function is translated 2 units to the right, the new function is:

$f(x)=|x -2|$

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.

The possible function from the list of given options is $f(x)=0.3|x -2|$

Read more about function transformation at:

brainly.com/question/1548871

6 0

2 years ago

The sum of 6 and the product of 3 and d

Novosadov [1.4K]

Answer:

6 + 3d

Step-by-step explanation:

First, we can translate from English words to mathematical operations:

– Product: the result of multiplication

– Sum: the result of addition

So, we can rephrase the original sentence as “the result of adding 6 and (the result of multiplying 3 and d)”

When we multiply a constant like 3 by a variable like d, we usually write the two next to each other, which would be “3d” in this case. We can replace that last sentence in symbols with 6 + 3d

5 0

2 years ago

Will mark brainless for first response!!!

ivann1987 [24]

1. (2x + 1)(x - 7)
2. -x - 4
3. -31x -35
4. 57x + 112
5. (-x) (-x)

5 0

2 years ago

A certain city with population of 132,000 is to be divided into 11 voting districts, and no district is to have a population tha

galben [10]

Answer: Therefore, Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of population = 132000

Number of voting districts = 11

According to question, no district is to have a population that is more than 10 percent greater than the population of any other district.

Let the number of population that the least populated district could have be 'x'.

So, it becomes,

$x+10(1.1x)=132000\\\\x+11x=13200\\\\12x=132000\\\\x=\dfrac{132000}{12}\\\\x=11000$

Hence, there are 11000 population that the least populated district could have.

Therefore, Option 'D' is correct.

4 0

3 years ago